The NT never implies nor state that she is the mother of the church.
We as Catholics believe that Jesus is the new Adam. And that Mary is the new Eve.
You see in the Old Testament a king could have many wives but he only has one mother. The mother was the queen not the wife.
So Jesus is King and His mother is queen because she is His mother.
Adam failed Jesus did not.
Eve disobeyed, Mary did not
Luke 1
38"I am the Lord’s servant," Mary answered. “May it be to me as you have said.” Then the angel left her.
And because we believe Mary is the new Eve, we believe she is mother of all the living, because Eve was.
Genesis 3
20 Adam named his wife Eve, because she would become the mother of all the living.
and because Jesus gave her to us
John 19
27 Then He said to the disciple, “Behold, your mother!” From that hour the disciple took her into his own household.
Where did Jesus get His flesh?
Mary
Where did Jesus get His blood?
Mary
They shared flesh and blood.
Mary is Jesus’ flesh and blood.
And when we as Catholics receive the Body and Blood of Jesus we receive her too.
See the great thing about God’s word is it is so powerful! When God said “Let there be light,” there was light!
And when God said in
John 6
51 I am the living bread that came down from heaven. If anyone eats of this bread, he will live forever.
This bread is my flesh, which I will give for the life of the world."
We know He meant it!
We are adopted children of God. We share flesh and blood like a real family when we come together as the Body of Christ and follow Jesus and receive His Flesh and Blood.